416911461120 has 1728 divisors, whose sum is σ = 1960630963200. Its totient is φ = 79148482560.

The previous prime is 416911461097. The next prime is 416911461121. The reversal of 416911461120 is 21164119614.

416911461120 is a `hidden beast` number, since 4 + 1 + 6 + 9 + 1 + 14 + 611 + 20 = 666.

416911461120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (416911461121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 488758614 + ... + 488759466.

It is an arithmetic number, because the mean of its divisors is an integer number (1134624400).

Almost surely, 2^416911461120 is an apocalyptic number.

416911461120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416911461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980315481600).

416911461120 is an abundant number, since it is smaller than the sum of its proper divisors (1543719502080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416911461120 is a wasteful number, since it uses less digits than its factorization.

416911461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 416911461120 in words is "four hundred sixteen billion, nine hundred eleven million, four hundred sixty-one thousand, one hundred twenty".